pind tue indefinete integral S In(s-1) ds

Q: Edit Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places…

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Q: Determine whether the following equation is separable. If so, solve the given initial value problem.…

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Q: 3 roblem 4. The third term of a geometric sequence is 9, and the common ratio is Find the fifth…

A: Given problem:- The third term of a geometric sequence is 9, and the common ratio is 3/2   Find the…

Q: 5) Find tue soletion of the differen tiel equation dr Sec't which paffes dt fant +1 turough the…

A: Solve the differential equation by separation of variables.

Q: ||r(t) × r"(t)|| ||r(t)||³ Use the formula k(t) = to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j + 3tk…

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: The volume of the hemisphere is: V=23πr3dV=2πr2dr

Q: Solve the differential equation dy tan y x Cos x 3 dx

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 10 cos(t)i + 11 sin(t)j +…

A: Let's find.

Q: Find V · (V × F), if F(x, y, z) = 3e"*i+3.xe"j – 8ev²k. V ·(V × F)

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Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F) = (4(y+2), 4:x, 0)

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Q: X1 + 2x2 + x3 = 12 X1 – 2x2 + x3 = 0 X1 + x2 – x3 = -1 Solve the following system using Gauss-…

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Q: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³+ 6x d. h(x)…

A: Given data

Q: Describe the graph of the equation. r =-18i+(1-j+:k O Itisa parabola in the plane: = -18, with…

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Q: x + 2y = 1 , x – 2y = 8 . Credit will be given for use of the method, and not for the so y =-7/4.

A: We will solve using cramers rule.

Q: Let A + 0 and ACB. Show that NB CNA.

A: Given :A≠∅A ⊆ B

Q: Given function:  f(x) = 4x^3 - 7x^2 + 2x - 5 A. Find the exact x & y coordinates of stationary…

A: Given: f(x)=4x3-7x2+2x-5

Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 3yz²k; (2,…

A: This question is based on divergence of vector.

Q: dz Find given: dt z = ze", z = t°, y = 1+ 4t dz dt Your answer should only involve the variable t

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Q: Cives とz f(xy)= J36-9メ-す i) Find domajn and Ram ge Foy the fuclien

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Q: Evaluate the definite integral. e12' i + e¯*j+tk )dt e12 – 1 1 (e- – 1) + 12 O el2 – 1 e12 -i - (e-…

A: Integral

Q: Find div F and curl F if F(x, y, z) = 17y*z4i – 3x°z®j – 3xy°k. - div F= curl F=

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Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

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Q: completely

A: We will solve the integration.

Q: Given f(r, y) = sin(r + y) where x = s't³, y = 4s - 3t. Find f.(z(s, t), y(s, t)) = fi(z(s, t), y(s,…

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Q: 15 15-2 0

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Q: Let g(z) = / ft) dt, where f is the function whose graph is shown below. What is the value of g (8)?…

A: We have to find value of g(8)

Q: 1- r 3 Consider the lines l : 2 2 - y = z +1 and l2: = y –2= 3 1. Determine a direction vectors for…

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Q: 4. x(x² – 1)² dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find div F and curl F if F(x, y, z) = xz°i + 2y°r*j+ 6z*yk. div F=2° + 16 y' x+ 12 zy curl F=

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Q: Find curl (8z i + 9x j + 10y k). curl(8z i + 9x j+ 10y k) Di +(i Dj +( )k

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Q: 3) use implict differentiation to finol dd et the point (8.1). 4 xy+ slny=32 Anywery: 28 a) 37 り 36…

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Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

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Q: xdx 41. 12-х

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

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Q: All edges of a cube are expanding at a rate of 3 cm per second. How fast is the volume changing when…

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Q: Find div F and curl F if F(c, y, z) = 9e®Y i – 8 cos yj+ 4 sin? z k. div F= 9 y eY + 8 sin(y)+4…

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Q: 1. 5x²+4x2-5 dx

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Q: xdx 46. S- V3+2x². – x+

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Q: S cot5 x dx

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Q: Evaluate the limit 9х + 5 lim z+00 2r2 – 6x + 6

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Q: dx sinxtanx

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Q: Practice Exercises: Find the area of the plane region bounded by the given curves 343 1. y = x² – 9…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 4y°x²j+ 52?yk. 3: 62. div F= curl F=

A: A detailed solution is given below

Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt' the product directly and…

A: r1(t)=cos⁡(t)i+sin⁡(t)j+6tk,r2(t)=5i+tk Given:  ddtr1(t)⋅r2(t)=r1(t)⋅dr2dt+dr1dt⋅r2(t) and…

Q: dy cos (x) cos (Y) %3D da O a. 2 In sec (3) +tan (3)| = %3D O b. 4 In sec (3)) + tan (y) %3D

A: Given: dydx=cos2x cosy